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How does even multiplicity impact a graph?Asked by Deontre
How does even multiplicity impact a graph?
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Answered by
Steve
It means the graph is symmetric about the y-axis, since f(-x) = f(x)
Answered by
Steve
Sorry; I was thinking of even functions.
You know that when the graph crosses the x-axis, there's a root there. The function changes from - to +. However, a root of even multiplicity means that f(x) is positive on both sides of the root, since x^2>=0. So, the graph is tangent to the x-axis, rather than crossinng it.
You know that when the graph crosses the x-axis, there's a root there. The function changes from - to +. However, a root of even multiplicity means that f(x) is positive on both sides of the root, since x^2>=0. So, the graph is tangent to the x-axis, rather than crossinng it.
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